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Finding the Third Proportional to 143,505 and 200,628

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Solution

The third proportional to 143,505 and 200,628 is: 280,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,505 : 200,628 = 200,628 : x
  2. Step 2: Convert to fraction form
    143,505/200,628 = 200,628/x
  3. Step 3: Cross multiply
    143,505x = 200,628 × 200,628
  4. Step 4: Simplify right side
    143,505x = 40,251,594,384
  5. Step 5: Solve for x
    x = 40,251,594,384/143,505
  6. Step 6: Final answer
    x = 280,489.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.